Greatest Common Factor of 972/783, 4992/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 972/783, 4992/707

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 972/783,4992/707

Given fractions are 972/783,4992/707

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 972,4992

Greatest Common Factor of Numerators i.e. GCF of 972,4992 is 12 .

LCM of Denominators means LCM of 783,707 as per the given fractions.

LCM of 783,707 is 553581 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 972,4992

GCF of Fractions 972/783,4992/707 is 12/553581

2 972, 4992
2 486, 2496
3 243, 1248
81, 416

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 972,4992 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,4992 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 4992

List of positive integer factors of 4992 that divides 4992 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,128,156,192,208,312,384,416,624,832,1248,1664,2496,4992

Greatest Common Factor

We found the factors 972,4992 . The biggest common factor number is the GCF number.
So the greatest common factor 972,4992 is 12.

Lets's calculate LCM of 783,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 553581

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/553581

Therefore, the GCF of Fractions 972/783,4992/707 is 12/553581

Least Common Multiple of 783,707 with GCF Formula

Least Common Multiple of 783,707 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 783,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,707) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(783,707) x common factors =1 x 1 = 1

LCM(783,707) = ( 783 × 707 ) / 1

LCM(783,707) = 553581 / 1

LCM(783,707) = 553581


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 972/783, 4992/707

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 972/783, 4992/707?

Answer: GCF of Numerators as per given numbers 972/783, 4992/707 is

GCF of Numerators i.e. for 972,4992 is 12

LCM of denominators i.e. for 783,707 is 553581.

Thus, GCF of Fractions is 12/553581.Finally, GCF of Fractions for 972/783, 4992/707 is 12/553581.